/// <summary> /// 求两条线的交点 /// </summary> /// <param name="point">前两个点与后两个点分别确定两条直线</param> /// ...
/// <summary> /// 求两条线的交点 /// </summary> /// <param name="point">前两个点与后两个点分别确定两条直线</param> /// <returns>两直线焦点</returns> private Point GetIntersectionyOfTwoLines(Point[] point) { Point intersectiony = new Point(); if (point.Length != 4) throw new AggregateException("参数个数不正确"); if (point[0].Equals(point[1]) && point[2].Equals(point[4])) throw new ArgumentException("参数相同"); bool line1IsVertical, line2IsVertical; line1IsVertical = point[1].X.Equals(point[0].X); line2IsVertical = point[3].X.Equals(point[2].X); if (line1IsVertical || line2IsVertical) //两条直线存在垂直的情况 { if (line1IsVertical && line2IsVertical) { throw new ArgumentException("两直线平行,无交点"); } else { if (line1IsVertical) { intersectiony.X = point[0].X; double differenceX = point[3].X - point[2].X; double differenceY = point[3].Y - point[2].Y; intersectiony.Y = differenceY * (intersectiony.X - point[2].X) / differenceX + point[2].Y; } else { intersectiony.X = point[2].X; double differenceX = point[1].X - point[0].X; double differenceY = point[1].Y - point[0].Y; intersectiony.Y = differenceY * (intersectiony.X - point[0].X) / differenceX + point[0].Y; } } } else { double differenceX1 = point[1].X - point[0].X; double differenceX2 = point[3].X - point[2].X; double differenceY1 = point[1].Y - point[0].Y; double differenceY2 = point[3].Y - point[2].Y; if ((differenceY1 * differenceX2).Equals(differenceY2 * differenceX1)) { throw new ArgumentException("两直线平行,无交点"); } else { intersectiony.X = (point[0].Y - point[2].Y + differenceY2 * point[2].X / differenceX2 - differenceY1 * point[0].X / differenceX1) / (differenceY2 / differenceX2 - differenceY1 / differenceX1); intersectiony.Y = differenceY1 * (intersectiony.X - point[0].X) / differenceX1 + point[0].Y; } } return intersectiony; }
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原标题:求两条直线的交点
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